3947659872 has 96 divisors (see below), whose sum is σ = 11248054272. Its totient is φ = 1205051904.

The previous prime is 3947659847. The next prime is 3947659873. The reversal of 3947659872 is 2789567493.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3947659873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146043 + ... + 170949.

It is an arithmetic number, because the mean of its divisors is an integer number (117167232).

Almost surely, 2^3947659872 is an apocalyptic number.

3947659872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947659872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624027136).

3947659872 is an abundant number, since it is smaller than the sum of its proper divisors (7300394400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3947659872 is a wasteful number, since it uses less digits than its factorization.

3947659872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25060 (or 25052 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 60.

The square root of 3947659872 is about 62830.4056329418. The cubic root of 3947659872 is about 1580.4469002348.

The spelling of 3947659872 in words is "three billion, nine hundred forty-seven million, six hundred fifty-nine thousand, eight hundred seventy-two".